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Path: ...!weretis.net!feeder9.news.weretis.net!2.eu.feeder.erje.net!feeder.erje.net!proxad.net!feeder1-2.proxad.net!usenet-fr.net!pasdenom.info!from-devjntp Message-ID: <VTMItxncAEYELeWXOtGSe5FrxHU@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: =?UTF-8?Q?R=C3=A9solution=20du=20probl=C3=A8me=20pos=C3=A9?= Newsgroups: fr.sci.maths JNTP-HashClient: dtIqgZgRfjNm48HuwoKIrlbJ59Y JNTP-ThreadID: YpSMaYU8zs1oRMOgtTGbPV26LfM JNTP-Uri: http://news2.nemoweb.net/?DataID=VTMItxncAEYELeWXOtGSe5FrxHU@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Tue, 25 Jun 24 11:36:44 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-06-25T11:36:44Z/8917692"; posting-account="4@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <r.hachel@wanadou.fr> Bytes: 1570 Lines: 28 Un intervenant posait le problème: sqrt(3x+7)+sqrt(x+2)=1 Soit : sqrt(3x+7)=1-sqrt(x+2) 3x+7 = 1 -2sqrt(x+2) + (x+2) 2x+4 = -2sqrt((x+2) x+2= -sqrt(x+2) Posons A=(x+2) A=-sqrt(A) Seule solution possible A=0. Soit A=x+2=0 x=-2 R.H.